Given numbers are 48,54,338

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 48,54,338 is 73008.

Find LCM of 48,54,338 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 8 x 9 x 169 = 73008

Therefore, the lowest common multiple of 48,54,338 is 73008.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

48 x 54 x 338 = 876096

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

54 : 1, 2, 3, 6, 9, 18, 27, 54

338 : 1, 2, 13, 26, 169, 338

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 48,54,338, is 2.

Now, the common factors can be found like this.

48:2x 2x 2x 2x 3

54:2x 3x 3x 3

338:2x 13x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 876096/(2x6)

LCM = 876096/12

LCM = 73008

Thus, we can understand that the LCM of 48,54,338 is 73008.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 92, 97, 372
• LCM of 73, 16, 319
• LCM of 67, 50, 610
• LCM of 93, 50, 329
• LCM of 54, 98, 157

1. What is the LCM of 48, 54, 338?

Answer: LCM of 48, 54, 338 is 73008.

2. How to calculate the LCM of 48, 54, 338?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 48, 54, 338.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.